Readings in Mathematics 1 Reading of material in a special topic. Colloquium participation. Writing and oral presentation of a research paper. Prerequisite: Consent of the department. Notes: May be repeated for credit. 3 Main theorems in integral calculus. Infinite series of numbers and functions. When Offered: Alternate years. Prerequisite: 305. Introduction to Real Analysis II Number Theory & the History of Mathematics 3 The history of mathematics from Euclid through the 19th century as seen by exploring developments in number theory including congruences, Diophantine equations, divisibility, theorems of Fermat and Wilson, primitive roots, indices, quadratic reciprocity and the distribution of prime numbers. When Offered: Alternate years. Prerequisite: 112. 3 Projective geometry, cross ratios theorems of Menelaus, Cevas, Pappus, Desargues and Brianchon. Hyperbolic and elliptic geometries. Differential geometry, curvature, torsion. When Offered: Alternate years. Prerequisite: 341 or consent. Modern Geometry Differential Equations 3 First order differential equations and second order linear equations, series solutions, Laplace transforms, numerical methods, partial differential equations and Fourier series, boundary value problems and Sturm-Liouville theory. When Offered: Alternate years. Prerequisite: 205, 291 or consent.
MATH 370
174
MATH 410
MATH 415
MATH 420
MATH 435
Complex Variables
3
MATH 440
Complex variables, analytic functions, complex integral theorems, power series, conformal mappings. When Offered: Alternate years. Prerequisite: 205 or consent.
Abstract Algebra II
3
MATH 450
Topics from groups, ring and fields. Galois theory. When Offered: Alternate years. Prerequisite: 315.
Research Seminar 1-3 Special studies in mathematics. Prerequisite: Senior standing or consent. Notes: May be repeated for credit.
MATH 480
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